Suppose that(adsbygoogle = window.adsbygoogle || []).push({}); Sis a nonempty set of real numbers that is not Sequentially compact. Prove that either (i) there is an unbounded seqeunce in S or (ii) there is a sequence in S that converges to a point x_{0}that is not inS.

I am having trouble with this it not being sequentially compact is screwing me up, I don't know how to prove it.

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# Sequentially Compactness

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